We look at the division of 683177 by 19 
We're looking to find how many times 19 goes into 683177.

On to step 1:
If we divide 6 by 19, we get 0 and a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 19

Going ahead to step 2:
The number 19 fits into 68 3 times, leaving a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtract 57 from 68 to get 11.
Include the next digit (3) from the dividend after 11, then repeat: 113 / 19

On to step 3:
The number 19 fits into 113 5 times, leaving a remainder of 18.
Use 5 as the next digit of our solution. 
Result so far: 35.0
Subtracting 95 from 113 leaves us with 18.
Grab the next digit (1) from the dividend, add it to 18, then carry on: 181 / 19

Let's proceed to step 4:
The number 19 fits into 181 9 times, leaving a remainder of 10.
The next digit of our result is 9. 
Result so far: 359.0
If we take 171 away from 181, we end up with 10.
Append the next digit (7) from the dividend to 10 and continue with: 107 / 19

Advancing to step 5:
19 can be fit into 107 5 times, resulting in a remainder of 12.
Write down 5 as next digit of the result. 
Result so far: 3595.0
If we take 95 away from 107, we end up with 12.
Include the next digit (7) from the dividend after 12, then repeat: 127 / 19

On to step 6:
19 goes into 127 6 times with a remainder of 13.
Use 6 as the next digit of our solution. 
Result so far: 35956.0
If we take 114 away from 127, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 7:
130 divided by 19 is 6 with a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 35956.6
Subtract 114 from 130 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 8:
19 goes into 160 8 times with a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 35956.68
If we subtract 152 from 160, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 9:
19 can be fit into 80 4 times, resulting in a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 35956.684
The remainder is 4 after subtracting 76 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 10:
40 divided by 19 is 2 with a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 35956.6842
If we take 38 away from 40, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 11:
20 divided by 19 is 1 with a remainder of 1.
The next digit of our result is 1. 
Result so far: 35956.68421
Subtracting 19 from 20 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 12:
10 divided by 19 is 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 35956.68421
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 13:
When dividing 100 by 19, we get 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 35956.6842105
Deduct 95 from 100 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 14:
If we divide 50 by 19, we get 2 and a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 35956.68421052
If we take 38 away from 50, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

In conclusion, the division gives 35956.68421052 with a balance of 1.2e-08.